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Two circles are externally tangent at point P, as shown. Segment CPD is parallel to common external tangent . Let be M on AB so that MP is tangent to both circles.

 


(a) Prove that M is the midpoint of AB.

(b) Let Q be the intersection of AC and BD. Show that triangle QAB is congruent to triangle PAB.

(c) Let N be the midpoint of CD. Show that MN = AB/2.

 Apr 18, 2020
 #1
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NEVERMIND, looking at the picture gave me a brainwave and I solved it easily. EHEHEHHEHEHHEHEHHHEEEEEEE! angrylaughsurprisefrownSORRy Im JusT a BiT TIReD RIghtT Now.

 Apr 18, 2020
 #2
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Actually, Can SOmEBody Help on C sad

 Apr 18, 2020

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